$3\mathrm{.}4$ The average daily temperature for an area can be approximated by the following function:

$T=T_{\text{m}\text{e}\text{a}\text{n}}+(T_{\text{p}\text{e}\text{a}\text{k}}-T_{\text{m}\text{e}\text{a}\text{n}})cos((t-t_{\text{p}\text{e}\text{a}\text{k}}))$

where $T_{\text{m}\text{e}\text{a}\text{n}}=$ the average annual temperature, $T_{\text{p}\text{e}\text{a}\text{k}}=$ the peak temperature, $=$ the frequency of the annual variation $(=2\frac{}{365}),$ and

$t_{\text{p}\text{e}\text{a}\text{k}}=$ day of the peak temperature d$).$ Parameters for some U$.$S$.$

towns are listed here:

Develop an M$-$file that computes the average temperature between two days of the year for a particular city. Test it for $($a$)$ January$-$Februaryin Yuma, AZ $($t $=0$ to $59)$ and $($b$)$ July$-$August temperature in Seattle, WA $(+=180$ to $242).$

Some specific instructions for solving...

$-$Develop an M$-$file that computes the average temperature for a given month for a particular city.

$-$Use switch function.

$-$Users will enter a city $($not the state$)$ and a month.

$-$Use $$input$$ function to receive the values with prompt like

$-$Display the result $($i$.$e$.,$ the average temperature of the month$)$

$-$The instructor will test your script with an arbitrary month and a city in the table.